This page outlines exercises that analyze electrical circuits using systems of equations from Kirchhoff's laws, involving diagrams and components like resistors and voltage sources. The objective is t...This page outlines exercises that analyze electrical circuits using systems of equations from Kirchhoff's laws, involving diagrams and components like resistors and voltage sources. The objective is to compute current values (e.g., I1,I2,I3,I4). It also covers dimensional analysis of electrical properties, focusing on combinations that yield force units.
This page defines important graph theory terms such as circuit, cycle, Eulerian circuit, and Hamiltonian circuit. It explains that a circuit is a closed walk with the same starting and ending vertex, ...This page defines important graph theory terms such as circuit, cycle, Eulerian circuit, and Hamiltonian circuit. It explains that a circuit is a closed walk with the same starting and ending vertex, while a cycle does not repeat vertices. An Eulerian circuit covers every edge once, and a Hamiltonian circuit visits each vertex once. Additionally, it offers practice checkpoints for readers to engage with the concepts, including drawing cycles and identifying specific types of circuits.
